 | 1857 - 998 pages
...as soon as he knows what a triangle is, that it has three sides. But he does not know quite so soon that the sum of its angles is equal to two right angles. Hence this proposition becomes to him> at least, synthetic. And yet the equality of its angles, taken... | |
 | Robert Potts - 1865 - 528 pages
...given are. 157. ABC is a plano curvilinear triangle formed by arcs of circles which meet in P; shew that the sum of its angles is equal to two right angles. IX. 158. Prove that there may be two, but not more than two, similar triangles in the same segment... | |
 | Robert Willis - 1870 - 704 pages
...; and hold that recompense follows deed as necessarily as from the nature of a triangle it follows that the sum of its angles is equal to two right angles. Every one will see this at once who observes that our greatest happiness consists in the love of God,... | |
 | Friedrich Ueberweg - 1874 - 580 pages
...together with all mathematical propositions. But just as it follows from the essence of a triangle, that the sum of its angles is equal to two right angles, so it follows from the nature of God, that he exists ; for by God we are to understand the absolutely... | |
 | Friedrich Ueberweg - 1874 - 580 pages
...together with all mathematical propositions. But jnst as it follows from the essence of a triangle, that the sum of its angles is equal to two right angles, so it follows from the nature of God, that he exists; for by God we are to understand the absolutely... | |
 | Walter Henry Hill - 1884 - 358 pages
...manner, what a triangle or three-sided figure is; yet, all men do not understand the demonstrated truth, that the sum of its angles is equal to two right angles. Evident and certain conclusions, in necessary matter, are seen alike by all person-s that truly know... | |
 | Richard Falckenberg - 1893 - 684 pages
...him, but they follow out of the necessary nature of God, as it follows from the nature of the triangle that the sum of its angles is equal to two right angles (I. prop. 17, sclwl.). They do not come out from him, but remain in him ; just this fact that they... | |
 | Walter Taylor Marvin - 1899 - 172 pages
...following necessarily out of his nature, or essence. Just as it follows from the nature of a triangle that the sum of its angles is equal to two right angles, so out of the nature of God follow all the modifications of God that we more or less mistakenly look... | |
 | Norman Kemp Smith - 1902 - 304 pages
...conception, say that of a triangle, from the mere conception we can deduce with absolute certainty that the sum of its angles is equal to two right angles. So, too, from the mere idea or con- ' ception of God we can deduce certain properties as necessarily... | |
 | Walter Taylor Marvin - 1903 - 598 pages
...follow necessarily from God's nature, or essence, just as it follows from the nature of a triangle that the sum of its angles is equal to two right angles. The question is how we are to regard the order of things relatively to the time of their appearance.... | |
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X is a triangle we know that the sum of its angles is equal to two right angles. Similarly too in all other cases. 
